On the Quasi‐Static Boundary Value Problems in the Theory of Swelling Porous Elastic Soils
Cătălin Galeş · Multidiscipline Modeling in Materials and Structures · 2006
Quasi‐static boundary value problems are formulated for the isothermal linear theory of swelling porous elastic soils in the case that the fluid is incompressible. First, some general theorems (uniqueness, reciprocal and continuous dependence) are established in the general case. Then, in the case that solid matrix is saturated with fluid and occupies a semi‐infinite cylinder of smooth cross section, a time‐weighted cross‐sectional area measure is used in order to establish spatial decay estimates for the quasi‐static solutions.